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Finding the Fourth Proportional to 949.58, 1,422.48 and 754.91

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Solution

The fourth proportional to 949.58, 1,422.48 and 754.91 is: 1,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.58 : 1,422.48 = 754.91 : x
  2. Step 2: Convert to fraction form
    949.58/1,422.48 = 754.91/x
  3. Step 3: Cross multiply
    949.58x = 1,422.48 × 754.91
  4. Step 4: Simplify right side
    949.58x = 1,073,844.38
  5. Step 5: Solve for x
    x = 1,073,844.38/949.58
  6. Step 6: Final answer
    x = 1,130.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.